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Wavelet Biorthogonal 4.4 (bior4.4)

Properties

Family: Biorthogonal (bior)

Properties: symmetric, not orthogonal, biorthogonal.

Wavelet and scaling functions

  • Biorthogonal 4.4 Decomposition scaling function

    Decomposition scaling function φ

  • Biorthogonal 4.4 Decomposition wavelet function

    Decomposition wavelet function ψ

  • Biorthogonal 4.4 Reconstruction scaling function

    Reconstruction scaling function φ

  • Biorthogonal 4.4 Reconstruction wavelet function

    Reconstruction wavelet function ψ

Coefficients

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Decomposition low-pass filter (copy↓)
Biorthogonal 4.4 Decomposition low-pass filter
  1. h0 = 0
  2. h1 =  0.0378284555
  3. h2 = -0.0238494650
  4. h3 = -0.1106244044
  5. h4 =  0.3774028556
  6. h5 =  0.8526986790
  7. h6 =  0.3774028556
  8. h7 = -0.1106244044
  9. h8 = -0.0238494650
  10. h9 =  0.0378284555
Reconstruction low-pass filter (copy↓)
Biorthogonal 4.4 Reconstruction low-pass filter
  1. h'0 = 0
  2. h'1 = -0.0645388826
  3. h'2 = -0.0406894176
  4. h'3 =  0.4180922732
  5. h'4 =  0.7884856164
  6. h'5 =  0.4180922732
  7. h'6 = -0.0406894176
  8. h'7 = -0.0645388826
  9. h'8 = 0
  10. h'9 = 0
Decomposition high-pass filter (copy↓)
Biorthogonal 4.4 Decomposition high-pass filter
  1. g0 = 0
  2. g1 = -0.0645388826
  3. g2 =  0.0406894176
  4. g3 =  0.4180922732
  5. g4 = -0.7884856164
  6. g5 =  0.4180922732
  7. g6 =  0.0406894176
  8. g7 = -0.0645388826
  9. g8 = 0
  10. g9 = 0
Reconstruction high-pass filter (copy↓)
Biorthogonal 4.4 Reconstruction high-pass filter
  1. g'0 = 0
  2. g'1 = -0.0378284555
  3. g'2 = -0.0238494650
  4. g'3 =  0.1106244044
  5. g'4 =  0.3774028556
  6. g'5 = -0.8526986790
  7. g'6 =  0.3774028556
  8. g'7 =  0.1106244044
  9. g'8 = -0.0238494650
  10. g'9 = -0.0378284555